<?xml version="1.0" encoding="UTF-8"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-10-19T04:52:07Z</responseDate><request verb="GetRecord" identifier="oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/16610" metadataPrefix="oai_dc">https://ebyu-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/16610</identifier><datestamp>2026-10-18T20:36:29Z</datestamp><setSpec>openaire</setSpec><setSpec>driver</setSpec><setSpec>com_ebyu_10000</setSpec><setSpec>col_ebyu_10001</setSpec></header><metadata><oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd"><dc:title>PADOVAN HYBRID QUATERNIONS AND SOME PROPERTIES</dc:title><dc:creator>Uysal, Mine</dc:creator><dc:creator>Ozkan, Engin</dc:creator><dc:subject>Padovan numbers</dc:subject><dc:subject>Padovan hybrid numbers</dc:subject><dc:subject>Padovan hybrid quaternions</dc:subject><dc:subject>Binet formula</dc:subject><dc:subject>generating function</dc:subject><dc:subject>LUCAS NUMBERS</dc:subject><dc:subject>K-JACOBSTHAL</dc:subject><dc:subject>FIBONACCI</dc:subject><dc:subject>FAMILY</dc:subject><dc:subject>Multidisciplinary Sciences</dc:subject><dc:subject>Science &amp; Technology - Other Topics</dc:subject><dc:description>We define Padovan hybrid quaternions by using Padovan hybrid numbers and Padovan quaternion. We give the basic operation properties of Padovan hybrid quaternion numbers. We give some properties and identities such as the Binet formula, sum formula, the matrix representation, characteristic equation, norm, characteristic and generating function for these quaternions.</dc:description><dc:publisher>EDITURA BIBLIOTHECA-BIBLIOTHECA PUBL HOUSE</dc:publisher><dc:date>2022</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/ebyu/16610</dc:identifier><dc:identifier>https://doi.org/10.46939/j.sci.arts-22.1-a11</dc:identifier><dc:identifier>1844-9581</dc:identifier><dc:language>en</dc:language><dc:relation>JOURNAL OF SCIENCE AND ARTS</dc:relation><dc:rights>info:eu-repo/semantics/openAccess</dc:rights><dc:type>info:eu-repo/semantics/article</dc:type><dc:identifier>https://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/16610</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>